Tank G contained 3 times as many guppies as Tank H. When 50% of the guppies in Tank G and 10% of the guppies in Tank H were transferred to Tank J, Tank J had 144 guppies, which was 50% more guppies than before. How many more guppies were there in Tank J than Tank H in the end?

	Tank G	Tank H	Tank J
Before	3 u	1 u	2x1.6 = 3.2 u
Change	- 1.5 u	- 0.1 u	+ 1x1.6 = + 1.6 u
After	1.5 u	0.9 u	3x1.6 = 4.8 u

Number of guppies that were transferred from Tank G to Tank J
= 50% x 3 u
= ⁵⁰₁₀₀ x 3 u
= 1.5 u

Number of guppies that were transferred from Tank H to Tank J
= 10% x 1 u
= ¹⁰₁₀₀ x 1 u
= 0.1 u

50% = ⁵⁰₁₀₀ = ¹₂

Some guppies from Tank G and Tank H were transferred to Tank J.  The total number of guppies transferred from Tank G and Tank H into Tank J is the same.

Total number of guppies transferred from Tank G and Tank H into Tank J
= 1.5 u + 0.1 u
= 1.6 u

4.8 u = 144

1 u = 144 ÷ 4.8 = 30

Number of more guppies in Tank J than Tank H
= 4.8 u - 0.9 u
= 3.9 u
= 3.9 x 30
= 117

Answer(s): 117